One part of this question I am getting wrong. I'm assuming it'sthe test statistic? I got 1 for Question C, and I got 5.432 forquestion b, and I got B for question C.
An undergraduate student performed a survey on the perceivedphysical and mental health of UBC students for her term project.She collected information by asking students whether they aresatisfied with their physical and mental health status. 129 maleand 157 female UBC students were randomly chosen to participate inthe survey. After finishing the survey, she presented the followingtables in her term project paper.
For both sexes:
| Number of students |
Perceived physical health, satisfied | 229 |
Perceived physical health, not satisfied | 57 |
Perceived mental health, satisfied | 257 |
Perceived mental health, not satisfied | 29 |
For male students:
| Number of students |
Perceived physical health, satisfied | 108 |
Perceived physical health, not satisfied | 21 |
Perceived mental health, satisfied | 110 |
Perceived mental health, not satisfied | 19 |
For female students:
| Number of students |
Perceived physical health, satisfied | 121 |
Perceived physical health, not satisfied | 36 |
Perceived mental health, satisfied | 147 |
Perceived mental health, not satisfied | 10 |
(a) To test independence of perceived physicalhealth and sex, we want to use a chi-square modelwith degree(s) of freedom.
(b) Compute the chi-square statistic used totest independence of perceived physical health and sex. Round youranswer to 3 decimal places. For all intermediate steps, keep atleast 6 decimal places.
Answer:
(c) Which of the following statements iscorrect based on the result of the Chi-square test?
A. At a 5% significance level, we reject the nullhypothesis. There is strong evidence that perceived physical healthand sex are associated.
B. At a 5% significance level, we do not rejectthe null hypothesis. There is little evidence that perceivedphysical health and sex are associated.
C. At a 5% significance level, we reject the nullhypothesis. There is strong evidence that perceived physical healthand sex are independent.
D. At a 5% significance level, we do not rejectthe null hypothesis. There is little evidence that perceivedphysical health and sex are independent.